Derived and prismatic F-Zips (C03)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

The project investigates the derived de Rham cohomology of proper morphisms in positive characteristic p > 0 and, more generally, over certain p-adically complete bases. The aim is to equip the completed derived de Rham cohomology with additional structures that extend those of an F-zip in order to obtain the notion of a derived F-zip. For this purpose we want to define geometrizations in the sense of Bhatt–Lurie to obtain functorialities, with which we then use characterize singularities by properties of the associated derived F-Zips by studying resolutions of singularities.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Manuel Blickle, Ph.D.; Professor Dr. Torsten Wedhorn